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Finding the Fourth Proportional to 16,046.46, 22,144.59 and 8,974.08

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Solution

The fourth proportional to 16,046.46, 22,144.59 and 8,974.08 is: 12,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.46 : 22,144.59 = 8,974.08 : x
  2. Step 2: Convert to fraction form
    16,046.46/22,144.59 = 8,974.08/x
  3. Step 3: Cross multiply
    16,046.46x = 22,144.59 × 8,974.08
  4. Step 4: Simplify right side
    16,046.46x = 198,727,322.23
  5. Step 5: Solve for x
    x = 198,727,322.23/16,046.46
  6. Step 6: Final answer
    x = 12,384.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.